On a Research of Hybrid Methods

Abstract

Constructed hybrid methods of the high accuracy the experts examined that’s for solving integral and integro-differential equations. Using hybrid methods for solving integral equations belongs to Makroglou. Here, developing these idea, explored a more general hybrid method which is applied to solving Volterra integral equations and also constructed a concrete method with the degree p = 8. However, order of accuracy for the known corresponding methods is of level p ≤ 4.